On the homotopy groups of the exceptional Lie groups
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- Trans. Amer. Math. Soc. 120 (1965), 481-498 Request permission
References
- Shôrô Araki, On the Brouwer degrees of some maps of compact symmetric spaces, Topology 3 (1965), 281–290. MR 187252, DOI 10.1016/0040-9383(65)90058-3
- E. Artin, Geometric algebra, Interscience Publishers, Inc., New York-London, 1957. MR 0082463
- Armand Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. of Math. (2) 57 (1953), 115–207 (French). MR 51508, DOI 10.2307/1969728
- A. Borel and C. Chevalley, The Betti numbers of the exceptional groups, Mem. Amer. Math. Soc. 14 (1955), 1–9. MR 69180
- A. Borel and J. De Siebenthal, Les sous-groupes fermés de rang maximum des groupes de Lie clos, Comment. Math. Helv. 23 (1949), 200–221 (French). MR 32659, DOI 10.1007/BF02565599
- Raoul Bott, The stable homotopy of the classical groups, Ann. of Math. (2) 70 (1959), 313–337. MR 110104, DOI 10.2307/1970106
- E. B. Dynkin and A. L. Oniščik, Compact global Lie groups, Uspehi Mat. Nauk (N.S.) 10 (1955), no. 4(66), 3–74 (Russian). MR 0075532
- Bruno Harris, Suspensions and characteristic maps for symmetric spaces, Ann. of Math. (2) 76 (1962), 295–305. MR 149479, DOI 10.2307/1970276
- Sigurđur Helgason, Differential geometry and symmetric spaces, Pure and Applied Mathematics, Vol. XII, Academic Press, New York-London, 1962. MR 0145455 P. Hilton and S. Wiley, Homology theory, Cambridge Univ. Press, New York, 1960.
- H. Hopf and H. Samelson, Ein Satz über die Wirkungsräume geschlossener Liescher Gruppen, Comment. Math. Helv. 13 (1941), 240–251 (German). MR 6546, DOI 10.1007/BF01378063
- Nathan Jacobson, Lie algebras, Interscience Tracts in Pure and Applied Mathematics, No. 10, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0143793
- N. Jacobson, Some groups of transformations defined by Jordan algebras. I, J. Reine Angew. Math. 201 (1959), 178–195. MR 106936, DOI 10.1515/crll.1959.201.178
- Jean-Pierre Serre, Groupes d’homotopie et classes de groupes abéliens, Ann. of Math. (2) 58 (1953), 258–294 (French). MR 59548, DOI 10.2307/1969789
- Norman Steenrod, The Topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton University Press, Princeton, N. J., 1951. MR 0039258
- J. Tits, Une classe d’algèbres de Lie en relation avec les algèbres de Jordan, Nederl. Akad. Wetensch. Proc. Ser. A 65 = Indag. Math. 24 (1962), 530–535 (French). MR 0146231
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 120 (1965), 481-498
- MSC: Primary 57.40
- DOI: https://doi.org/10.1090/S0002-9947-1965-0192511-5
- MathSciNet review: 0192511